9723377664 has 1152 divisors, whose sum is σ = 41211555840. Its totient is φ = 2123366400.

The previous prime is 9723377603. The next prime is 9723377753. The reversal of 9723377664 is 4667733279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (8001504) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 9723377664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313657329 + ... + 313657359.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 2^9723377664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9723377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20605777920).

9723377664 is an abundant number, since it is smaller than the sum of its proper divisors (31488178176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9723377664 is a wasteful number, since it uses less digits than its factorization.

9723377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The square root of 9723377664 is about 98607.1887034612. The cubic root of 9723377664 is about 2134.3831555156.

The spelling of 9723377664 in words is "nine billion, seven hundred twenty-three million, three hundred seventy-seven thousand, six hundred sixty-four".